Is 42075127 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 075 127 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 42 075 127, the only two divisors are 1 and 42 075 127. Therefore 42 075 127 is a prime number.
As a consequence, 42 075 127 is only a multiple of 1 and 42 075 127.
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Since 42075127 is a prime number, 42075127 is also a deficient number, that is to say 42075127 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42075127 without 42075127 itself (that is 1, by definition!).